Instantons in ${\cal N}=2$ $Sp(N)$ Superconformal Gauge Theories and the AdS/CFT Correspondence
| dc.creator | Gava, E. | |
| dc.creator | Narain, K. S. | |
| dc.creator | Sarmadi, M. H. | |
| dc.date | 1999-08-19 | |
| dc.date | 1999-09-20 | |
| dc.date.accessioned | 2026-07-07T12:45:15Z | |
| dc.date.available | 2026-07-07T12:45:15Z | |
| dc.description | We study, using ADHM construction, instanton effects in an ${\CN}=2$ superconformal $Sp(N)$ gauge theory, arising as effective field theory on a system of $N$ D-3-branes near an orientifold 7-plane and 8 D-7-branes in type I' string theory. We work out the measure for the collective coordinates of multi-instantons in the gauge theory and compare with the measure for the collective coordinates of $(-1)$-branes in the presence of 3- and 7-branes in type I' theory. We analyse the large-N limit of the measure and find that it admits two classes of saddle points: In the first class the space of collective coordinates has the geometry of $AdS_5\times S^3$ which on the string theory side has the interpretation of the D-instantons being stuck on the 7-branes and therefore the resulting moduli space being $AdS_5\times S^3$, In the second class the geometry is $AdS_5\times S^5/Z_2$ and on the string theory side it means that the D-instantons are free to move in the 10-dimensional bulk. We discuss in detail a correlator of four O(8) flavour currents on the Yang-Mills side, which receives contributions from the first type of saddle points only, and show that it matches with the correlator obtained from $F^4$ coupling on the string theory side, which receives contribution from D-instantons, in perfect accord with the AdS/CFT correspondence. In particular we observe that the sectors with odd number of instantons give contribution to an O(8)-odd invariant coupling, thereby breaking O(8) down to SO(8) in type I' string theory. We finally discuss correlators related to $R^4$, which receive contributions from both saddle points. | |
| dc.description | 28 pages, no figures, typos corrected, a reference added | |
| dc.identifier | https://arxiv.org/abs/hep-th/9908125 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9908125 | |
| dc.identifier | Nucl.Phys.B569:183-208,2000 | |
| dc.identifier | doi:10.1016/S0550-3213(99)00751-8 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/221030 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Instantons in ${\cal N}=2$ $Sp(N)$ Superconformal Gauge Theories and the AdS/CFT Correspondence | |
| dc.type | text |